Answer:
x = 5 and the measure of the two angles is 110
Step-by-step explanation:
since the lines a and b are parallel to each other and crossing the transversal we know that the two corresponding angles are the same meaning we can create an equation to help us find x
Since they are both equal out equation will look like this...
23x - 5 = 21x + 5
now we combine like terms and rearrange till the problem can be worked out.
-5 = -2x + 5
alrighty now we can solve
add -5 to both sides
-10 = -2x
divide both sides by -2
5 = x
Now that we have the value of x we can solve the equations separately.
since both the angles are the same we only need to solve one
I'm going to use the second one
21x + 5
now i add in the value of x
21(5) + 5
now I solve
105 + 5
110
Meaning the measure of the two angles is 110 each.
Hope this helps!! :)
